The combined-maximum principle in problems of estimating the motion parameters of a maneuvering aircraft

Kostoglotov, A. A.; Lazarenko, Sergey

doi:10.1134/s1064226909040081

Cited by 36 publications

(12 citation statements)

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“…where λ is the undetermined Lagrange multiplier, 0 t s L is a constant of the switching curve [5]. We can rewrite eq.…”

Section: The Stochastic Synthesis Of the Estimating Filter Of The Conmentioning

confidence: 99%

“…The present paper studies the new mathematical model for the controlled process which is developed on the methodology of the combined-maximum principle [3,4,5,6]. The approach developed by the authors assumes that the state change is the result of an unknown generalized force which is determined by the minimum of the Hamilton action [6,7,8].…”

Section: Introductionmentioning

confidence: 99%

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The Stochastic Synthesis of the Adaptive Filter for Estimating the Controlled Systems State Based on the Condition of Maximum of the Generalized Power Function

et al. 2016

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Abstract. The proposed procedure for the synthesis of the filter of the state estimation is based on a new mathematical model of the dynamic controlled system. It is based on the maximum condition of the function of the generalized power. The optimization boundary problem can be solved using the invariant embedding procedure. The result differs from the known ones as it has lower dimensionality, non-linear structure and provides a more accurate estimation.

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“…where λ is the undetermined Lagrange multiplier, 0 t s L is a constant of the switching curve [5]. We can rewrite eq.…”

Section: The Stochastic Synthesis Of the Estimating Filter Of The Conmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The Stochastic Synthesis of the Adaptive Filter for Estimating the Controlled Systems State Based on the Condition of Maximum of the Generalized Power Function

et al. 2016

View full text Add to dashboard Cite

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“…The solution to this problem is based on the methodology of the combined maximum principle [5][6][7][8][9][10][11][12]. To refine the structure of the solution obtained, it is necessary to analyze the behavior of the invariants of motion on the characteristic trajectories in the phase space.…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…The condition of the minimum of the target functional can be represented in the form of the condition of the maximum of the generalized power [5][6][7][8][9][10][11][12] …”

Section: The Synthesis Of the Dynamic Filtermentioning

confidence: 99%

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The combined maximum principle in the problem of synthesis of an adaptive dynamic filter under conditions of disturbances in the measurement process

et al. 2017

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Abstract. The article considers the problem of estimating the parameters of motion under conditions of disturbances in the measurement process, which are caused by missing data, misses in measurements, etc. in the operation of radar systems. The structure of the included filter for estimating the parameters of motion is determined by the mathematical model of the maneuvering target. At present time the kinematic models are widely used, but they do not fully correspond to the observed dynamics. This may lead to divergence of the estimation process and failure of the computational procedure. New dynamic filters of the combined maximum principle with the dynamic model of motion possess higher accuracy and stability and smaller amount of computational costs in comparison with common filters. The materials and methods We propose new mathematical model that determines the structure of the dynamic filter of the combined maximum principle. A numerical simulation of the operation of the proposed filter, as well as comparison of its efficiency with common filters by a number of criteria are performed. The results. The efficiency of functioning of radio engineering systems on the basis of the solution to the problem of synthesis of a dynamic filter using method of the combined maximum principle with construction of adaptive dynamic model of motion in vector-matrix form is increased. This makes it possible to eliminate the divergence of computational estimation procedures caused by the inadequacy of the structure of the mathematical model of motion. It is shown that the developed dynamic filter differs from the known filters in terms of the structure of the transition matrix. Discussion and conclusions The results of the mathematical modeling showed that in comparison with the Kalman filter and the "alpha-beta" filter the new dynamic filter under conditions of disturbances in the measuring process increase the number of performance indicators.

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Designing the Knowledge Base for the Intelligent Inertial Regulator Based on Quasi-optimal Synthesis of Controls Using the Combined Maximum Principle

Kostoglotov

Lazarenko

Agapov

et al. 2018

Advances in Intelligent Systems and Computing

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The combined-maximum principle in problems of estimating the motion parameters of a maneuvering aircraft

Cited by 36 publications

References 1 publication

The Stochastic Synthesis of the Adaptive Filter for Estimating the Controlled Systems State Based on the Condition of Maximum of the Generalized Power Function

The Stochastic Synthesis of the Adaptive Filter for Estimating the Controlled Systems State Based on the Condition of Maximum of the Generalized Power Function

The combined maximum principle in the problem of synthesis of an adaptive dynamic filter under conditions of disturbances in the measurement process

Designing the Knowledge Base for the Intelligent Inertial Regulator Based on Quasi-optimal Synthesis of Controls Using the Combined Maximum Principle

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